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A-LevelPhysicsSuperposition9702/23 · Oct/Nov 2021 · Q58 Marks

For a progressive wave on a stretched string, state what is meant by amplitude.

  1. (a)For a progressive wave on a stretched string, state what is meant by amplitude.[1]
  2. (b)Light from a laser has a wavelength of 690 nm in a vacuum. Calculate the period of the light wave.[3]
  3. (c)A two-source interference experiment uses the arrangement shown in Fig. 5.1. [Figure 5.1] Light from a laser is incident normally on a double slit. A screen is parallel to the double slit. Interference fringes are seen on the screen at distance D from the double slit. The separation of the centres of the slits is a. The light has wavelength λ. The separation x of the centres of adjacent bright fringes is measured for different values of distance D. The variation with D of x is shown in Fig. 5.2. The gradient of the graph is G. [Figure 5.2]
  4. (c)(i)Determine an expression, in terms of G and λ, for the separation a of the slits.[2]
  5. (c)(ii)The experiment is repeated with slits of separation 2a. The wavelength of the light is unchanged. On Fig. 5.2, sketch a graph to show the results of this experiment.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [B1] maximum displacement (of a point/particle on string/wave)
  2. [C1] v = λ/Τ or v = fλ and f = 1/T
  3. [C1] T = 690 × 10⁻⁹ / 3.00 × 10⁸
  4. [A1] = 2.3 × 10⁻¹⁵ s
  5. [C1] λ = ax / D
  6. [A1] G = x/D (so) a = λ/G
  7. [M1] straight line from origin always below printed line
  8. [A1] line is half the height of printed line at maximum D

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About this question

Topic
Superposition, A-Level Physics (syllabus 9702). Structured question, 8 marks.
Source
A-Level Physics, Oct/Nov 2021 Paper 2 Variant 3, question 5.

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